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Pattern formation on semiconductor surfaces induced by low energetic ion-beam erosion under normal and oblique incidence is theoretically investigated using a continuum model in form of a stochastic, nonlocal, anisotropic…

Materials Science · Physics 2009-11-11 Sebastian Vogel , Stefan J. Linz

Nonlinear models for pattern evolution by ion beam sputtering on a material surface present an ongoing opportunity for new numerical simulations. A numerical analysis of the evolution of preexisting patterns is proposed to investigate…

Materials Science · Physics 2021-04-30 E. Vitral , D. Walgraef , J. Pontes , G. R. Anjos , N. Mangiavacchi

A new hydrodynamic mechanism is proposed for the ion beam induced surface patterning on solid surfaces. Unlike the standard mechanisms based on the ion beam impact generated erosion and mass redistribution at the free surface (proposed by…

Materials Science · Physics 2015-06-05 Tanuj Kumar , Ashish Kumar , D. C. Agarwal , N. P. Lalla , D. Kanjilal

The off-normal ion irradiation of semiconductor materials is seen to induce nanopatterning effects. Different theories are proposed to explain the mechanisms that drive self-reorganization of amorphisable surfaces. One of the prominent…

Materials Science · Physics 2022-11-24 A. Lopez-Cazalilla , F. Djurabekova , K. Nordlund

Off-normal low energy ion beam sputtering of solid surfaces often leads to morphological instabilities resulting in the spontaneous formation of ripple structures in nanometer length scales. In the case of Si surfaces at ambient…

Materials Science · Physics 2009-04-09 Safiul A. Mollick , D. Ghose

Erosion by ion-beam sputtering (IBS) of amorphous targets at off-normal incidence frequently produces a (nanometric) rippled surface pattern, strongly resembling macroscopic ripples on aeolian sand dunes. Suitable generalization of…

Statistical Mechanics · Physics 2009-11-11 Javier Muñoz-García , Mario Castro , Rodolfo Cuerno

We examine the effects of pure additive noise on spatially extended systems with quadratic nonlinearities. We develop a general multiscale theory for such systems and apply it to the Kuramoto-Sivashinsky equation as a case study. We first…

Statistical Mechanics · Physics 2012-09-20 M. Pradas , G. A. Pavliotis , S. Kalliadasis , D. T. Papageorgiou , D. Tseluiko

Bradley et. al. recently provided an explanation of nanodot and defect-free ordered ripple production from binary compounds, for normal and oblique incidence ion sputtering respectively, by the inclusion of the effect of the preferential…

Materials Science · Physics 2013-11-13 Oluwole Oyewande , Boluwatife Adeoti

Costache et al. have reported recently a new type of periodic patterns generated at femtosecond laser ablation of transparent dielectrics (Appl. Surf. Sci. 186, 352(2002)). They show features known from other pattern forming systems far…

Other Condensed Matter · Physics 2007-05-23 Ionut Georgescu , Michael Bestehorn , Florenta Costache , Juergen Reif

By means of numerical simulations we study the radial-orbit instability in anisotropic self-gravitating $N-$body systems under the effect of noise. We find that the presence of additive or multiplicative noise has a different effect on the…

Astrophysics of Galaxies · Physics 2022-06-08 Pierfrancesco Di Cintio , Lapo Casetti

Surfaces eroded by ion-sputtering are sometimes observed to develop morphologies which are either ripple (periodic), or rough (non-periodic). We introduce a discrete stochastic model that allows us to interpret these experimental…

We present a model for the effect of stress on thin amorphous films that develop atop ion-irradiated silicon, based on the mechanism of ion-induced anisotropic plastic flow. Using only parameters directly measured or known to high accuracy,…

Mathematical Physics · Physics 2015-06-05 Scott A. Norris

Recent experimental studies focusing on the morphological properties of surfaces eroded by ion-bombardment report the observation of self-affine fractal surfaces, while others provide evidence about the development of a periodic ripple…

Statistical Mechanics · Physics 2008-02-03 A. -L. Barabasi , M. A. Makeev , C. S. Lee , R. Cuerno

Many morphological features of sputter eroded surfaces are determined by the balance between ion induced linear instability and surface diffusion. However, the impact of the nonlinear terms on the morphology is less understood. We…

Condensed Matter · Physics 2009-10-31 S. Park , B. Kahng , H. Jeong , A. -L. Barabasi

The numerical noise inherent to particle-in-cell simulation of 3D high intensity bunched beams is studied with the TRACEWIN code and compared with an analytical model by Struckmeier. The latter assumes that entropy growth can be related to…

Accelerator Physics · Physics 2015-06-19 Ingo Hofmann , Oliver Boine-Frankenheim

A study of ripple formation on sapphire surfaces by 300-2000 eV Ar+ ion bombardment is presented. Surface characterization by in-situ synchrotron grazing incidence small angle x-ray scattering and ex-situ atomic force microscopy is…

We study the stability and dynamics of traveling-front solutions of a modified Kuramoto--Sivashinsky equation arising in the modeling of nanoscale ripple patterns that form when a nominally flat solid surface is bombarded with a broad ion…

Analysis of PDEs · Mathematics 2019-07-03 Mathew A. Johnson , Gregory D. Lyng , Connor Smith

The effect of external fluctuations on the formation of spatial patterns is analysed by means of a stochastic Swift-Hohenberg model with multiplicative space-correlated noise. Numerical simulations in two dimensions show a shift of the…

Condensed Matter · Physics 2009-10-28 J. Garcia-Ojalvo , J. M. Sancho

While numerous models exist which explain certain aspects of irradiation-induced nanopatterning on semiconductors, a comprehensive theoretical explanation has remained elusive. However, it is increasingly apparent that such a model will…

Mesoscale and Nanoscale Physics · Physics 2026-05-21 Tyler P. Evans , Scott A. Norris

Bombardment of a solid surface with a broad, obliquely-incident ion beam frequently produces nanoscale surface ripples. The primary obstacle that prevents the adoption of ion bombardment as a nano-fabrication tool is the high density of…

Materials Science · Physics 2016-05-04 Matt Harrison , R. Mark Bradley
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